945219607091776 has 189 divisors, whose sum is σ = 1953052865071497. Its totient is φ = 453876242181120.

The previous prime is 945219607091761. The next prime is 945219607091801. The reversal of 945219607091776 is 677190706912549.

The square root of 945219607091776 is 30744424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45545977498176 + 899673629593600 = 6748776^2 + 29994560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 945219607091699 and 945219607091708.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 675639461125 + ... + 675639462523.

Almost surely, 2^{945219607091776} is an apocalyptic number.

945219607091776 is the 30744424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945219607091776

945219607091776 is an abundant number, since it is smaller than the sum of its proper divisors (1007833257979721).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

945219607091776 is an frugal number, since it uses more digits than its factorization.

945219607091776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 73.

The spelling of 945219607091776 in words is "nine hundred forty-five trillion, two hundred nineteen billion, six hundred seven million, ninety-one thousand, seven hundred seventy-six".